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Physics Letters A, ISSN 0375-9601, 08/2014, Volume 378, Issue 40, pp. 2931 - 2937
We decouple the Dirac's radial equations in D+1 dimensions with Coulomb-type scalar and vector potentials through appropriate transformations. We study each of... 
Lie algebras | Coherent states | Dirac equation | Scalar–vector potentials | Higher dimensions | Scalar-vector potentials | SUPERSYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | UNIFIED TREATMENT | ALGEBRA | LADDER OPERATORS | RELATIVISTIC HYDROGEN-ATOM | EQUATION | Algebra
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 06/2016, Volume 57, Issue 6, p. 62104
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 02/2019, Volume 34, Issue 4, p. 1950028
By modifying and generalizing known supersymmetric models, we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic... 
Dunkl operators | inverted harmonic oscillator | supersymmetric quantum mechanics | reflection operators | Non-Hermitian Hamiltonians | EQUATIONS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | BOSONIZED SUPERSYMMETRY | ASTRONOMY & ASTROPHYSICS | DEFORMED HEISENBERG ALGEBRA | QUANTUM-MECHANICS | PHYSICS, PARTICLES & FIELDS
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 06/2018, Volume 33, Issue 20, p. 1850112
We study the radial part of the Dunkl–Coulomb problem in two dimensions and show that this problem possesses the SU(1, 1) symmetry. We introduce two different... 
tilting transformation | Algebraic methods | coherent states | Dunkl operators | Schrödinger factorization | REPRESENTATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Schrodinger factorization | PHYSICS, MATHEMATICAL | OSCILLATOR | OPERATORS | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 02/2016, Volume 57, Issue 2, p. 21704
We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the (1, 1) Lie algebra. We obtain the energy... 
PHYSICS, MATHEMATICAL | ALGEBRA | Schroedinger equation | Eigenvectors | Energy spectra | Coherence | Lie groups
Journal Article
Annals of Physics, ISSN 0003-4916, 09/2016, Volume 372, pp. 283 - 296
We study a relativistic quantum particle in cosmic string spacetime in the presence of a magnetic field and a Coulomb-type scalar potential. It is shown that... 
Cosmic string spacetime | Tilting transformation | Algebraic methods | Schrödinger factorization | Coherent states | PHYSICS, MULTIDISCIPLINARY | DIRAC-EQUATION | FIELD | Schrodinger factorization | OSCILLATOR | PHASE | DYNAMICS | GRAVITATIONAL ANALOG | SCALAR | Magnetic fields | Quantum physics | Spacetime | Particle physics | Physics - Quantum Physics
Journal Article
The European Physical Journal Plus, ISSN 2190-5444, 1/2017, Volume 132, Issue 1, pp. 1 - 8
We study the Dunkl oscillator in two dimensions by the su(1,1) algebraic method. We apply the Schrödinger factorization to the radial Hamiltonian of the Dunkl... 
Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIE-ALGEBRAS | POTENTIALS | PHYSICS, MULTIDISCIPLINARY | ALGEBRAIC APPROACH
Journal Article
Journal of the Optical Society of America B: Optical Physics, ISSN 0740-3224, 08/2016, Volume 33, Issue 8, pp. 1696 - 1701
We introduce an alternative approach to the polarization theory of light. This theory is based on a set of quantum operators, constructed from two independent... 
REPRESENTATION | OPTICS | ELECTROMAGNETIC-WAVE POLARIZATION | Operators (mathematics) | Stokes parameters | Polarization | Parameters | Electromagnetic waves | Lie groups | Generators | Bosons
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 07/2018, Volume 59, Issue 7, p. 73506
We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode... 
REVIVAL | ONE-ATOM | PHASE | COLLAPSE | STATISTICS | DYNAMICS | COHERENT STATES | RADIATION-FIELD | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | Physics - Quantum Physics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 04/2014, Volume 55, Issue 4, p. 42109
We construct the Perelomov number coherent states for an arbitrary su(1, 1) group operation and study some of their properties. We introduce three operators... 
DYNAMICS | PHASE | AMPLIFICATION | PHYSICS, MATHEMATICAL | QUANTUM | Operators (mathematics) | Parametric amplifiers | Energy spectra | Coherence | Lie groups | Eigenvectors | Quantum theory | Harmonic oscillators | PARAMETRIC AMPLIFIERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | ENERGY SPECTRA | EIGENFUNCTIONS | HARMONIC OSCILLATORS | SU GROUPS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 11/2019, Volume 60, Issue 11, p. 111704
In this paper, we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the SU(1, 1) and... 
2-DIMENSIONAL GEOMETRY | REVIVAL | HARMONIC-OSCILLATOR | COLLAPSE | STATE PREPARATION | SYSTEMS | EXAMPLE | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | RADIATION | Time dependence | Physics - Quantum Physics
Journal Article
Annals of Physics, ISSN 0003-4916, 12/2017, Volume 387, pp. 121 - 134
We introduce two generalizations of the Jaynes–Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes–Cummings interactions,... 
Coherent state | Jaynes–Cummings model | Lie algebra | DIRAC OSCILLATOR | PHASE | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | Jaynes-Cummings model | QUANTUM | DYNAMICS | NUMBER COHERENT STATES
Journal Article
EUROPEAN PHYSICAL JOURNAL PLUS, ISSN 2190-5444, 12/2019, Volume 134, Issue 12
In this paper we study the interaction part of the most general Hamiltonian of a two-level system in two-dimensional geometry. We decouple the equations for... 
COHERENT STATES | BOSON REALIZATION | PHYSICS, MULTIDISCIPLINARY | JAYNES-CUMMINGS-MODEL | ATOM
Journal Article
Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, 10/2016, Volume 23, Issue 4, pp. 607 - 619
We study some properties of the SU(1, 1) Perelomov number coherent states. The Schrödinger's uncertainty relationship is evaluated for a position and... 
coherent states | pseudoharmonic oscillator | two-dimensional harmonic oscillator | Lie algebras | MATHEMATICS, APPLIED | SU(1,1) | PHASE | HARMONIC-OSCILLATOR | PHYSICS, MATHEMATICAL
Journal Article
The European Physical Journal Plus, ISSN 2190-5444, 1/2019, Volume 134, Issue 1, pp. 1 - 11
In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (... 
Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SYSTEMS | SPIN | PHYSICS, MULTIDISCIPLINARY | QUANTUM
Journal Article
理论物理通讯:英文版, ISSN 0253-6102, 2015, Volume 63, Issue 3, pp. 271 - 274
We show that the(2+1)-dimensional Dirac-Moshinsky oscillator coupled to an externa/ magnetic field can be treated algebraically with the SU(1,1) group theory... 
表示理论 | 振荡器 | 二维 | 外部磁场 | 连接 | 狄拉克 | 相干态 | 本征函数 | Dirac-Moshinsky oscillator | coherent states | Lie algebras | Dirac equation | PHYSICS, MULTIDISCIPLINARY | QUANTUM
Journal Article
Communications in Theoretical Physics, ISSN 0253-6102, 07/2015, Volume 64, Issue 1, pp. 34 - 38
From the definition of the standard Perelomov coherent states we introduce the Perelomov number coherent states for any su(2) Lie algebra. With the... 
Lie algebras | coupled oscillators | coherent states | MECHANICS | PHYSICS, MULTIDISCIPLINARY
Journal Article
The European Physical Journal D, ISSN 1434-6060, 8/2018, Volume 72, Issue 8, pp. 1 - 7
Journal Article
Annals of Physics, ISSN 0003-4916, 12/2019, Volume 411, p. 167964
In this paper we study the (2+1)-dimensional Dirac–Dunkl oscillator coupled to an external magnetic field. Our Hamiltonian is obtained from the standard Dirac... 
Dunkl derivative | Dirac–Moshinsky oscillator | Dirac equation | COULOMB | Dirac-Moshinsky oscillator | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | OPERATORS | DIRAC
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 06/2016, Volume 57, Issue 6, p. 1
We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by... 
Simulation | Receivers & amplifiers | Ions | Eigen values
Journal Article
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